If you have a graph with a tensile stress-strain curve of a typical metal or alloy and you superimpose a compressive stress-strain curve on it (from same metal or alloy), how would this look like if you had to sketch it?
I know that when you talking about engineering stress and strain, you will get a typical metal stress-strain curve for tension and then in comparison the compressive one follows same path for the elastic region and then after that rises above the tensile one. And you will notice three differences:
compressive one will have no necking and thus no maximum/tensile point.
it will fracture differently and with way higher strain
like mentioned before; F needed for compression is higher than for tension in the plastic region because of the increasing area and so engineering stress will be higher as well.
Now how would tensile look like versus compression if we talking about real stress and strain? Especially regarding point 3, will compression still rise above tension curve in the plastic region? So in other words will delta F be higher than delta area in compression? Will the extra rise in Force for compression with respect to tension be compensated by the fact that for compression the area increases and for tension it decreases and thus true stress will be equal?
If it not much to ask, could someone sketch a true stress and strain curve with both tension and compression for a typical metal?